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arxiv: 1502.03706 · v1 · pith:62S4MWNTnew · submitted 2015-02-12 · 🧮 math.DG

On geometric Bott-Chern formality and deformations

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keywords formalitygeometricbott-cherncomplexdeformationsaeppliaeppli-bott-chernaeppli-bott-chern-massey
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A notion of geometric formality in the context of Bott-Chern and Aeppli cohomologies on a complex manifold is discussed. In particular, by using Aeppli-Bott-Chern-Massey triple products, it is proved that geometric Aeppli-Bott-Chern formality is not stable under small deformations of the complex structure.

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